Recent Military, Naval, and Civil Service Examination Papers in Mathematics, with Answers and Hints for SolutionWilliam Tomlin, 1874 - 116 pages |
From inside the book
Results 1-5 of 36
Page 5
... circle bisect a straight line in it which does not pass through the centre , it shall cut it at right angles . A point is taken within a circle and from that point two equal straight lines are drawn to the circumference . Prove that the ...
... circle bisect a straight line in it which does not pass through the centre , it shall cut it at right angles . A point is taken within a circle and from that point two equal straight lines are drawn to the circumference . Prove that the ...
Page 6
... circle is half that of the square described about the same circle . 6. If a straight line be drawn parallel to one of the sides of a triangle , it shall cut the other sides , or these produced , proportionally . 7. Equal parallelograms ...
... circle is half that of the square described about the same circle . 6. If a straight line be drawn parallel to one of the sides of a triangle , it shall cut the other sides , or these produced , proportionally . 7. Equal parallelograms ...
Page 12
... circle to its diameter is that of 3.1416 to unity , find the volume and the surface of a cylinder , the radius of ... circle are equally distant from the centre . If two parallel chords AB , CD be drawn in a circle . then AC and BD are ...
... circle to its diameter is that of 3.1416 to unity , find the volume and the surface of a cylinder , the radius of ... circle are equally distant from the centre . If two parallel chords AB , CD be drawn in a circle . then AC and BD are ...
Page 13
... circle , and find the centre of that circle . 9. Define the degree , grade , and unit of circular measure . The number that denotes an angle when expressed in circular measure is less by 15 than that denoting the number of degrees in ...
... circle , and find the centre of that circle . 9. Define the degree , grade , and unit of circular measure . The number that denotes an angle when expressed in circular measure is less by 15 than that denoting the number of degrees in ...
Page 14
Braithwaite Arnett. 13. If any arc of a circle be divided into two equal and also into two unequal parts , prove that the rectangle of the chords of the two unequal arcs , together with the square of the chord of the arc between the ...
Braithwaite Arnett. 13. If any arc of a circle be divided into two equal and also into two unequal parts , prove that the rectangle of the chords of the two unequal arcs , together with the square of the chord of the arc between the ...
Other editions - View all
Recent Military, Naval, and Civil Service Examination Papers in Mathematics ... Braithwaite Arnett No preview available - 2016 |
Common terms and phrases
acres Algebra angular points ARITHMETIC AND LOGARITHMS arithmetic series axis base bisects the angle cent centre of gravity chords coefficient continued fraction cosine cubic cuts the circle Define Describe a circle diameter distance Divide ellipse equilateral Euclid expression exterior angle feet Find by Practice Find the equation find the number Find the value forces acting Geometry given circle given straight line given triangle inches inscribed intersection latus rectum least common multiple logarithms METCALFE AND SON Mixed Mathematics Multiply parabola parallel parallelogram particle perpendicular places of decimals pressure produced prove PURE MATHEMATICS ratio rect rectangle contained right angles shew sides simple interest spherical triangle string subtended Subtract surface tangent things taken Todhunter's triangle ABC TRIGONOMETRY velocity vertex vertical vis viva weight yards
Popular passages
Page 83 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 72 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Page 72 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 17 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 54 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Page 12 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Page 82 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Page 44 - If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line, which is made up of the half and the part produced.
Page 82 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Page 1 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.